{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pearson's correlation coefficient\n", "\n", "The correlation function in scores calculates the Pearson's correlation coefficient." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from scores.continuous import correlation, mse\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import xarray as xr" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Uncomment the line below to view detailed help information on the arguments to the correlation function\n", "# help(correlation)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create synthetic observations with two forecast systems. Forecast system 1 is identical to the observations but has a constant bias introduced. In contrast, forecast system 2 predicts random values around a mean value close to that of the observations." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "obs = 10 * np.random.random((50, 50))\n", "obs = xr.DataArray(\n", " data=obs, \n", " dims=[\"time\", \"x\"],\n", " coords={\"time\": pd.date_range(\"2023-01-01\", \"2023-02-19\"), \"x\": np.arange(0, 50)}\n", ")\n", "\n", "# Create forecasts\n", "fcst1 = obs - 4\n", "\n", "fcst2 = 4.5 + np.random.random((50, 50))\n", "fcst2 = xr.DataArray(\n", " data=fcst2, \n", " dims=[\"time\", \"x\"],\n", " coords={\"time\": pd.date_range(\"2023-01-01\", \"2023-02-19\"), \"x\": np.arange(0, 50)}\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE of forecast system 1 = 16.0\n", "MSE of forecast system 2 = 8.2\n" ] } ], "source": [ "# First let's calculate the MSE of each forecast system\n", "mse1 = mse(fcst1, obs).item()\n", "mse2 = mse(fcst2, obs).item()\n", "print(f\"MSE of forecast system 1 = {mse1:.3}\")\n", "print(f\"MSE of forecast system 2 = {mse2:.3}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MSE of forecast system 2 is better (lower).\n", "\n", "Let's visualise the time series of forecast 1 against the observations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_372483/2233286951.py:2: DeprecationWarning: dropping variables using `drop` is deprecated; use drop_vars.\n", " fcst1.sel(x=0).drop(\"x\").plot()\n", "/tmp/ipykernel_372483/2233286951.py:3: DeprecationWarning: dropping variables using `drop` is deprecated; use drop_vars.\n", " obs.sel(x=0).drop(\"x\").plot()\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Perfectly correlated forecast and observations')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's view a time series of forecast 1 and observations for a single point\n", "fcst1.sel(x=0).drop(\"x\").plot()\n", "obs.sel(x=0).drop(\"x\").plot()\n", "plt.ylabel(\"Units of observation\")\n", "plt.title(\"Perfectly correlated forecast and observations\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a close relationship between forecast 1 and observation data despite the bias. We can plot the forecast values against the observed values." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Observed values')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(obs.sel(x=0).values, fcst1.sel(x=0).values)\n", "plt.ylabel(\"Forecast values\")\n", "plt.xlabel(\"Observed values\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there is a perfect linear relationship.\n", "\n", "Now let's plot the time series for forecast 2 together with the observations." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_372483/2841622926.py:2: DeprecationWarning: dropping variables using `drop` is deprecated; use drop_vars.\n", " fcst2.sel(x=0).drop(\"x\").plot()\n", "/tmp/ipykernel_372483/2841622926.py:3: DeprecationWarning: dropping variables using `drop` is deprecated; use drop_vars.\n", " obs.sel(x=0).drop(\"x\").plot()\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Poorly correlated forecast and observations')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's view a time series of forecast 2 and observations for a single point\n", "fcst2.sel(x=0).drop(\"x\").plot()\n", "obs.sel(x=0).drop(\"x\").plot()\n", "plt.ylabel(\"Units of observation\")\n", "plt.title(\"Poorly correlated forecast and observations\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there does not appear to be a relationship between forecast system 2 and the observations. Let's plot the forecast values against the observed values.\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Observed values')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(obs.sel(x=0).values, fcst2.sel(x=0).values)\n", "plt.ylabel(\"Forecast values\")\n", "plt.xlabel(\"Observed values\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there is no linear relationship.\n", "\n", "Correlation can be useful to calculate how close the linear relationship is between forecasts and observations if we are not concerned about bias. A value of 1 indicates a perfect linear relationship, while a value of 0 indicates no linear relationship. A value of -1 indidicates that the data is perfectly negatively correlated." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The correlation between forecast system 1 and the observations = 1.00\n", "The correlation between forecast system 2 and the observations = 0.01\n" ] } ], "source": [ "#Let's calculate the correlation of each forecast system\n", "corr1 = correlation(fcst1, obs).item()\n", "corr2 = correlation(fcst2, obs).item()\n", "print(f\"The correlation between forecast system 1 and the observations = {corr1:.2f}\")\n", "print(f\"The correlation between forecast system 2 and the observations = {corr2:.2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that forecast system 1 has a greater correlation with the observations than forecast system 2 does. It's worth noting that forecast system 1 had a poorer MSE than forecast system 2. In this synthetic experiment, forecast system 1 could easily be bias corrected to outperform forecast system 2 when measured by MSE.\n", "\n", "For further information on the Pearson's correlation coefficient see [https://en.wikipedia.org/wiki/Pearson_correlation_coefficient](https://en.wikipedia.org/wiki/Pearson_correlation_coefficient)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }